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Finding the Fourth Proportional to 6,976.35, 9,602.42 and 5,294.79

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Solution

The fourth proportional to 6,976.35, 9,602.42 and 5,294.79 is: 7,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.35 : 9,602.42 = 5,294.79 : x
  2. Step 2: Convert to fraction form
    6,976.35/9,602.42 = 5,294.79/x
  3. Step 3: Cross multiply
    6,976.35x = 9,602.42 × 5,294.79
  4. Step 4: Simplify right side
    6,976.35x = 50,842,770.92
  5. Step 5: Solve for x
    x = 50,842,770.92/6,976.35
  6. Step 6: Final answer
    x = 7,287.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.